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Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights/ by Eli Levin, Doron S. Lubinsky.
Author:	Levin, Eli.
other author:	Lubinsky, Doron S.
Description:	VII, 170 p.online resource. :
Contained By:	Springer Nature eBook
Subject:	Algebra. -
Online resource:	https://doi.org/10.1007/978-3-319-72947-3
ISBN:	9783319729473

Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights
Levin, Eli.

Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights[electronic resource] /by Eli Levin, Doron S. Lubinsky. - 1st ed. 2018. - VII, 170 p.online resource. - SpringerBriefs in Mathematics,2191-8198. - SpringerBriefs in Mathematics,.

Introduction -- Statement of Main Results -- Potential Theoretic Estimates -- Restricted Range Inequalities -- Bounds for Christoffel Functions -- Spacing of Zeros -- Bounds on Orthogonal Polynomials -- Markov-Bernstein Inequalities in L -- Discretization of Potentials -- Derivatives of Discretized Polynomials -- Weighted Polynomial Approximations -- Formulae Involving Bernstain-Szego Polynomials -- Asymptotics of Orthonormal Polynomials -- Further Bounds -- Universality Limits and Entropy Integrals.

This book establishes bounds and asymptotics under almost minimal conditions on the varying weights, and applies them to universality limits and entropy integrals. Orthogonal polynomials associated with varying weights play a key role in analyzing random matrices and other topics. This book will be of use to a wide community of mathematicians, physicists, and statisticians dealing with techniques of potential theory, orthogonal polynomials, approximation theory, as well as random matrices. .

ISBN: 9783319729473

Standard No.: 10.1007/978-3-319-72947-3doiSubjects--Topical Terms:

579870
Algebra.

LC Class. No.: QA247-247.45

Dewey Class. No.: 512.3

Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights
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505 0 $a Introduction -- Statement of Main Results -- Potential Theoretic Estimates -- Restricted Range Inequalities -- Bounds for Christoffel Functions -- Spacing of Zeros -- Bounds on Orthogonal Polynomials -- Markov-Bernstein Inequalities in L -- Discretization of Potentials -- Derivatives of Discretized Polynomials -- Weighted Polynomial Approximations -- Formulae Involving Bernstain-Szego Polynomials -- Asymptotics of Orthonormal Polynomials -- Further Bounds -- Universality Limits and Entropy Integrals.
520 $a This book establishes bounds and asymptotics under almost minimal conditions on the varying weights, and applies them to universality limits and entropy integrals. Orthogonal polynomials associated with varying weights play a key role in analyzing random matrices and other topics. This book will be of use to a wide community of mathematicians, physicists, and statisticians dealing with techniques of potential theory, orthogonal polynomials, approximation theory, as well as random matrices. .
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